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Convex hulls of generalized moment curves

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Abstract

We consider the family of curves inR 4: {fx115-1}, wherep andq are positive integers, and determine the facial structure of the convex hull of these curves.

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References

  1. D. Gale,Neighborly and cyclic polytopes, Proc. Symp. Pure Math., 7 (Convexity), 1963, pp. 225–232.

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  2. B. Grünbaum,Convex Polytopes, Interscience, London/New York/Sydney, 1967.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Zeev Smilansky

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  1. Zeev Smilansky
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Smilansky, Z. Convex hulls of generalized moment curves. Israel J. Math. 52, 115–128 (1985). https://doi.org/10.1007/BF02776085

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  • DOI: https://doi.org/10.1007/BF02776085

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